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Finding the Fourth Proportional to 10,124.16, 15,192.64 and 3,968

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Solution

The fourth proportional to 10,124.16, 15,192.64 and 3,968 is: 5,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.16 : 15,192.64 = 3,968 : x
  2. Step 2: Convert to fraction form
    10,124.16/15,192.64 = 3,968/x
  3. Step 3: Cross multiply
    10,124.16x = 15,192.64 × 3,968
  4. Step 4: Simplify right side
    10,124.16x = 60,284,395.52
  5. Step 5: Solve for x
    x = 60,284,395.52/10,124.16
  6. Step 6: Final answer
    x = 5,954.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.